Abstract：Deal with the limitations of GUM recommendations to express the measurement uncertainty based on a probabilistic and statistical theory, a more general approach which framed within the theory of the evidence was proposed. The method can represent the measurement result and its associated uncertainty in terms of random-fuzzy variables. An exhaustive mathematical framework and RFV membership functions was established according to the available information. The procedure for expressing the measurement uncertainty in terms of RFV was given by simple examples. The experimental results reported show that RFV are capable of both providing all the intervals of confidence and representing the different contributions to uncertainty. By compared with the approach of the GUM, the RFV method allows representing the dispersion of the values that could reasonably be attributed to the measured in a more suitable way than the probability theory, especially when no negligible nonrandom effects are present.
余学锋,于杰,王柯,张开维. 基于证据理论的测量不确定度评定与分析[J]. 计量学报, 2017, 38(2): 252-256.
YU Xue-feng,YU Jie,WANG Ke,ZHANG Kai-wei. Evaluating and Analyzing Measurement Uncertainty Based on the Theory of Evidence. Acta Metrologica Sinica, 2017, 38(2): 252-256.
［1］IEC,ISO.IEC-ISO Guide to the Expression of Uncertainty in Measurement［S］. Geneva:International Organization for Standardization, 1992.
［2］国家质量监督检验检疫总局.JJF 1059.1—2012测量不确定度评定与表示［S］.
［3］刘继友. 随机模糊变量特征函数的若干性质［D］.南京:南京理工大学, 2008.
［4］李斌, 陈以, 韩元杰. 模糊证据理论综述［J］.兵工自动化, 2005, 24(3):79-81.
［5］Mauris G, Berrah L, Foulloy L, et al. Fuzzy handling of measurement errors in instrumentation［J］.IEEE Transactions on Instrumentation & Measurement, 2000,49(1):89-93.
［6］Salicone S. Measurement Uncertainty An Approach via the Mathematical Theory of Evidence［M］. New York: Springer series in reliability engineering, Springer Verlag, 2007.
［7］Salicone S. The Theory of Evidence A New Promising Approach to the Evaluation and Expression of Measurement Uncertainty［J］. IEEE Instrumentation & Measurement Magazine, 2013,16（1）: 18-23.
［8］Mauris G. Expression of Measurement Uncertainty in a Very Limited Knowledge Context: A Possibility Theory-Based Approach［J］. IEEE Transactions on Instrumentation & Measurement, 2007,56(3):731-735.
［9］Ferrero A, Salicone S. Modelling and processing measurement uncertainty within the theory of evidence［C］//AMUEM 2006, Sardagna, Trento, Italy, 2006: 2-7.
［10］Ferrero A, Salicone S. Uncertainty: Only One Mathematical Approach to Its Evaluation and Expression［J］. IEEE Transactions on Instrumentation & Measurement, 2012, 61(8): 2167-2177.
2017, Vol. 38 
